Question

Which statement decribes the behavior of the function mc010-1.jpg? If you cannot see the Image the function is f(x)= 3x/4-x.
The graph approaches –3 as x approaches infinity.
The graph approaches 0 as x approaches infinity.
The graph approaches 3 as x approaches infinity.
The graph approaches 4 as x approaches infinity.

Answer 1

Answer: The graph  approaches -3 as x approaches infinity will be the correct option which describes the behavior of the function.

Explanation:

Given Function: f(x)= $\frac{3x}{4-x}$

Now, we divide numerator and denominator by x and we get,

⇒ $f(x)= \frac{3}{4/x-1}$

If x approaches to infinity.

Therefore, $\lim_{x\rightarrow \infty}f(x)$

then $f(x)\rightarrow -3$

Thus, we can say f(x) approaches -3 as x approaches infinity

Answer 2

Answer:

-3

Step-by-step explanation: